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Finding the Third Proportional to 5,824.50 and 9,020.25

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Solution

The third proportional to 5,824.50 and 9,020.25 is: 13,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.50 : 9,020.25 = 9,020.25 : x
  2. Step 2: Convert to fraction form
    5,824.50/9,020.25 = 9,020.25/x
  3. Step 3: Cross multiply
    5,824.50x = 9,020.25 × 9,020.25
  4. Step 4: Simplify right side
    5,824.50x = 81,364,910.06
  5. Step 5: Solve for x
    x = 81,364,910.06/5,824.50
  6. Step 6: Final answer
    x = 13,969.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.